3886557840 has 480 divisors, whose sum is σ = 14891475456. Its totient is φ = 900157440.

The previous prime is 3886557839. The next prime is 3886557877. The reversal of 3886557840 is 487556883.

3886557840 is a `hidden beast` number, since 3 + 8 + 8 + 6 + 557 + 84 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19728622 + ... + 19728818.

Almost surely, 2^3886557840 is an apocalyptic number.

3886557840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3886557840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7445737728).

3886557840 is an abundant number, since it is smaller than the sum of its proper divisors (11004917616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3886557840 is a wasteful number, since it uses less digits than its factorization.

3886557840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 3886557840 is about 62342.2636740117. The cubic root of 3886557840 is about 1572.2503922962.

It can be divided in two parts, 388655 and 7840, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 3886557840 in words is "three billion, eight hundred eighty-six million, five hundred fifty-seven thousand, eight hundred forty".